On tangential H2 interpolation with second order norm constraints

Daniel Alpay; Vladimir Bolotnikov; Philippe Loubaton

doi:10.1007/BF01193458

On tangential H₂ interpolation with second order norm constraints

Daniel Alpay
, Vladimir Bolotnikov
, Philippe Loubaton

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

A family of left-sided interpolation problems in the class of matrix-valued functions with entries in the Hardy space of the open unit disk is defined and studied; the motivation comes from the theory of q-Markov covariant equivalent realizations. We use tools from the theory of reproducing kernel spaces as well as elementary properties of Carathéodory functions.

Original language	English
Pages (from-to)	156-178
Number of pages	23
Journal	Integral Equations and Operator Theory
Volume	24
Issue number	2
DOIs	https://doi.org/10.1007/BF01193458
State	Published - 1 Jan 1996

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/BF01193458

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title = "On tangential H2 interpolation with second order norm constraints",

abstract = "A family of left-sided interpolation problems in the class of matrix-valued functions with entries in the Hardy space of the open unit disk is defined and studied; the motivation comes from the theory of q-Markov covariant equivalent realizations. We use tools from the theory of reproducing kernel spaces as well as elementary properties of Carath{\'e}odory functions.",

author = "Daniel Alpay and Vladimir Bolotnikov and Philippe Loubaton",

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AU - Bolotnikov, Vladimir

AU - Loubaton, Philippe

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N2 - A family of left-sided interpolation problems in the class of matrix-valued functions with entries in the Hardy space of the open unit disk is defined and studied; the motivation comes from the theory of q-Markov covariant equivalent realizations. We use tools from the theory of reproducing kernel spaces as well as elementary properties of Carathéodory functions.

AB - A family of left-sided interpolation problems in the class of matrix-valued functions with entries in the Hardy space of the open unit disk is defined and studied; the motivation comes from the theory of q-Markov covariant equivalent realizations. We use tools from the theory of reproducing kernel spaces as well as elementary properties of Carathéodory functions.

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U2 - 10.1007/BF01193458

DO - 10.1007/BF01193458

M3 - Article

AN - SCOPUS:0030075076

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JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 2

ER -

On tangential H₂ interpolation with second order norm constraints

Abstract

ASJC Scopus subject areas

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